Triangles
Triangle XYZ has angle X= 50 degrees, Y= 70 degrees and Z= 60 degrees. Determine whether triangle XYZ is an acute, obtuse, or right triangle.
Acute triangle
Opposite sides of a parallelogram are _____________ and _____________.
Opposite sides of a parallelogram are parallel and congruent.
What are 4 kinds of transformations?
Translation, reflection, rotation, dilation
What is an acute angle?
An angle that is less than 90 degrees
What is an obtuse triangle?
A triangle with one obtuse angle (greater than 90 degrees) and two acute angles.
Triangle XYZ has angles X= 60 degrees, Y= 60 degrees and Z= 60 degrees. Determine the type of triangle XYZ is based on its angles.
Equilateral Triangle
In parallelogram PQRS, if PQ=6 cm and QR=8 cm, what is the length of PS?
8 cm
What is another word for translation?
Slide/Shift/Glide
Two angles that add up to 180 degrees are _____________________ angles.
Two angles that add up to 180 degrees are supplementary angles.
The corresponding sides of similar triangles are ___________________.
The corresponding sides of similar triangles are proportional/in proportion.
Given triangle ABC, angle ABC=90 degrees, AB=5 and BC=12, find the length of side AC using the Pythagorean theorem.
13
The diagonals of a rhombus are _____________________ to each other.
Perpendicular
Which transformations are rigid motions?
Translation, reflection and rotation
What kind of angles are formed when two perpendicular lines intersect?
Right angles
What are the three trig functions and their ratios?
Sin=Opposite/Hypotenuse
Cos= Adjacent/Hypotenuse
Tan= Opposite/Hypotenuse
In triangle DEF, DE=8 cm, DF=15 cm, and EF=17 cm. Determine whether triangle DEF is a right triangle.
Yes!
In parallelogram ABCD, the measure of angle A is 70 degrees and AB=8 cm. Find the measure of angle B.
110 degrees
The figure before a transformation is called the ____________ and after the transformation the resulting figure is called the ____________.
The figure before a transformation is called the Pre-image and after the transformation the resulting figure is called the image.
Given that angle A=70 degrees, find angle B if angle A and angle B are vertical angles.
70 degrees
What is a trapezoid?
A quadrilateral with one pair of parallel sides.
Triangle LMN has side lengths, LM=12 cm, MN=16 cm, and, LN=20 cm. Determine the measure of the largest angle in triangle LMN.
90 degrees
In parallelogram ABCD, ∠A=60. Find the measures of ∠B, ∠C, and ∠D.
Angle B=120 degrees
Angle C= 60 degrees
Angle D= 120 degrees
A rotation of 180 degrees clockwise around the origin is the same as _________ degrees counterclockwise.
180 degrees counterclockwise
What kind of angles are formed when parallel lines are cut by a transversal?
Alternate interior angles
What is the formula for law of sines?
a/sin(A)=b/sin(B)=c/sin(C)